90836619264000 has 1792 divisors, whose sum is σ = 351988616070000. Its totient is φ = 23365523865600.

The previous prime is 90836619263989. The next prime is 90836619264047. The reversal of 90836619264000 is 46291663809.

90836619264000 is a `hidden beast` number, since 9 + 0 + 8 + 366 + 19 + 264 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15768396251136 + 75068223012864 = 3970944^2 + 8664192^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 86593535476 + ... + 86593536524.

Almost surely, 2^{90836619264000} is an apocalyptic number.

90836619264000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90836619264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175994308035000).

90836619264000 is an abundant number, since it is smaller than the sum of its proper divisors (261151996806000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90836619264000 is an frugal number, since it uses more digits than its factorization.

90836619264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 90836619264000 in words is "ninety trillion, eight hundred thirty-six billion, six hundred nineteen million, two hundred sixty-four thousand".